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Finding the Fourth Proportional to 385,665.68, 578,277.04 and 205,529.32

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Solution

The fourth proportional to 385,665.68, 578,277.04 and 205,529.32 is: 308,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,665.68 : 578,277.04 = 205,529.32 : x
  2. Step 2: Convert to fraction form
    385,665.68/578,277.04 = 205,529.32/x
  3. Step 3: Cross multiply
    385,665.68x = 578,277.04 × 205,529.32
  4. Step 4: Simplify right side
    385,665.68x = 118,852,886,802.81
  5. Step 5: Solve for x
    x = 118,852,886,802.81/385,665.68
  6. Step 6: Final answer
    x = 308,175.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.